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Simplifying 5x + -7 = 3(x + 9) Reorder the terms: -7 + 5x = 3(x + 9) Reorder the terms: -7 + 5x = 3(9 + x) -7 + 5x = (9 * 3 + x * 3) -7 + 5x = (27 + 3x) Solving -7 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x -7 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = 27 + 0 -7 + 2x = 27 Add '7' to each side of the equation. -7 + 7 + 2x = 27 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 27 + 7 2x = 27 + 7 Combine like terms: 27 + 7 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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